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A thermally insulated vessel contains an...

A thermally insulated vessel contains an ideal gas of molecular mass M and ratio of specific heats `gamma`. It is moving with speed v and it's suddenly brought to rest. Assuming no heat is lost to the surroundings, Its temperature increases by:

A

(a)`(gammaMv^(2))/(2R)K`

B

(b)`((gamma-1))/(2R)Mv^(2)K`

C

(c)`((gamma-1))/(2(gamma+1)R)Mv^(2)K`

D

(d)`((gamma-1))/(2gammaR)Mv^(2)K`

Text Solution

Verified by Experts

The correct Answer is:
B
`(1)/(2)Mv^(2)= (f)/(2) RDeltaT "and" gamma= 1 + (2)/(f) implies DeltaT = ((gamma-1))/(2R)Mv^(2)`
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